Gillian has some caramel apples and chocolate bars. If she packs a caramel apple and a chocolate bar in each bag, there will be 19 chocolate bars left. If she packs 5 caramel apples and 6 chocolate bars in each bag, there will be 11 caramel apples left. How many caramel apples and chocolate bars does she have in all?

	Case 1		Case 2
	Caramel Apples	Chocolate Bars	Caramel Apples	Chocolate Bars
Before	1 u	1 u + 19	5 p + 11	6 p
Change	- 1 u	- 1 u	- 5 p	- 6 p
After	0	19	11	0

The number of caramel apples at first is the same for Case 1 and 2.
The number of chocolate bars at first is also the same for Case 1 and 2.

1 u = 5 p + 11 --- (1)

1 u + 19 = 6 p
1 u = 6 p - 19 --- (2)

(2) = (1)
6 p - 19 = 5 p + 11
6 p - 5 p = 11 + 19

1 p = 30

Total number of caramel apples and chocolate bars
= (5 p + 11) + 6 p
= 11 p + 11
= 11 x 30 + 11
= 330 + 11
= 341

Answer(s): 341